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Finding the Third Proportional to 1,368,615,360 and 1,977,413,280

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Solution

The third proportional to 1,368,615,360 and 1,977,413,280 is: 2,857,021,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,615,360 : 1,977,413,280 = 1,977,413,280 : x
  2. Step 2: Convert to fraction form
    1,368,615,360/1,977,413,280 = 1,977,413,280/x
  3. Step 3: Cross multiply
    1,368,615,360x = 1,977,413,280 × 1,977,413,280
  4. Step 4: Simplify right side
    1,368,615,360x = 3,910,163,279,920,358,400
  5. Step 5: Solve for x
    x = 3,910,163,279,920,358,400/1,368,615,360
  6. Step 6: Final answer
    x = 2,857,021,332.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.